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Reference Guide
rf307_fullpereventerrors.C File Reference

Detailed Description

View in nbviewer Open in SWAN 'MULTIDIMENSIONAL MODELS' RooFit tutorial macro #307

Complete example with use of full p.d.f. with per-event errors

#include "RooRealVar.h"
#include "RooDataSet.h"
#include "RooGaussian.h"
#include "RooGaussModel.h"
#include "RooConstVar.h"
#include "RooDecay.h"
#include "RooLandau.h"
#include "RooProdPdf.h"
#include "RooHistPdf.h"
#include "RooPlot.h"
#include "TCanvas.h"
#include "TAxis.h"
#include "TH1.h"
using namespace RooFit ;
void rf307_fullpereventerrors()
{
// B - p h y s i c s p d f w i t h p e r - e v e n t G a u s s i a n r e s o l u t i o n
// ----------------------------------------------------------------------------------------------
// Observables
RooRealVar dt("dt","dt",-10,10) ;
RooRealVar dterr("dterr","per-event error on dt",0.01,10) ;
// Build a gaussian resolution model scaled by the per-event error = gauss(dt,bias,sigma*dterr)
RooRealVar bias("bias","bias",0,-10,10) ;
RooRealVar sigma("sigma","per-event error scale factor",1,0.1,10) ;
RooGaussModel gm("gm1","gauss model scaled bt per-event error",dt,bias,sigma,dterr) ;
// Construct decay(dt) (x) gauss1(dt|dterr)
RooRealVar tau("tau","tau",1.548) ;
RooDecay decay_gm("decay_gm","decay",dt,tau,gm,RooDecay::DoubleSided) ;
// C o n s t r u c t e m p i r i c a l p d f f o r p e r - e v e n t e r r o r
// -----------------------------------------------------------------
// Use landau p.d.f to get empirical distribution with long tail
RooLandau pdfDtErr("pdfDtErr","pdfDtErr",dterr,RooConst(1),RooConst(0.25)) ;
RooDataSet* expDataDterr = pdfDtErr.generate(dterr,10000) ;
// Construct a histogram pdf to describe the shape of the dtErr distribution
RooDataHist* expHistDterr = expDataDterr->binnedClone() ;
RooHistPdf pdfErr("pdfErr","pdfErr",dterr,*expHistDterr) ;
// C o n s t r u c t c o n d i t i o n a l p r o d u c t d e c a y _ d m ( d t | d t e r r ) * p d f ( d t e r r )
// ----------------------------------------------------------------------------------------------------------------------
// Construct production of conditional decay_dm(dt|dterr) with empirical pdfErr(dterr)
RooProdPdf model("model","model",pdfErr,Conditional(decay_gm,dt)) ;
// (Alternatively you could also use the landau shape pdfDtErr)
//RooProdPdf model("model","model",pdfDtErr,Conditional(decay_gm,dt)) ;
// S a m p l e, f i t a n d p l o t p r o d u c t m o d e l
// ------------------------------------------------------------------
// Specify external dataset with dterr values to use model_dm as conditional p.d.f.
RooDataSet* data = model.generate(RooArgSet(dt,dterr),10000) ;
// F i t c o n d i t i o n a l d e c a y _ d m ( d t | d t e r r )
// ---------------------------------------------------------------------
// Specify dterr as conditional observable
model.fitTo(*data) ;
// P l o t c o n d i t i o n a l d e c a y _ d m ( d t | d t e r r )
// ---------------------------------------------------------------------
// Make two-dimensional plot of conditional p.d.f in (dt,dterr)
TH1* hh_model = model.createHistogram("hh_model",dt,Binning(50),YVar(dterr,Binning(50))) ;
hh_model->SetLineColor(kBlue) ;
// Make projection of data an dt
RooPlot* frame = dt.frame(Title("Projection of model(dt|dterr) on dt")) ;
data->plotOn(frame) ;
model.plotOn(frame) ;
// Draw all frames on canvas
TCanvas* c = new TCanvas("rf307_fullpereventerrors","rf307_fullperventerrors",800, 400);
c->Divide(2) ;
c->cd(1) ; gPad->SetLeftMargin(0.20) ; hh_model->GetZaxis()->SetTitleOffset(2.5) ; hh_model->Draw("surf") ;
c->cd(2) ; gPad->SetLeftMargin(0.15) ; frame->GetYaxis()->SetTitleOffset(1.6) ; frame->Draw() ;
}
Author
07/2008 - Wouter Verkerke

Definition in file rf307_fullpereventerrors.C.